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44226393363264 = 26371923239315067
BaseRepresentation
bin10100000111001010000100…
…11101110101001101000000
312210121000001101200011121210
422003211002131311031000
521244101123200111024
6234021154041450120
712213152153636610
oct1203450235651500
9183530041604553
1044226393363264
111310134308a352
124b634557a0940
131b8a6b97b2578
14acc7d6d48a40
1551a66b302129
hex283942775340

44226393363264 has 448 divisors, whose sum is σ = 147506267750400. Its totient is φ = 11402626701312.

The previous prime is 44226393363199. The next prime is 44226393363307. The reversal of 44226393363264 is 46236339362244.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140213859 + ... + 140528925.

Almost surely, 244226393363264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44226393363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73753133875200).

44226393363264 is an abundant number, since it is smaller than the sum of its proper divisors (103279874387136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44226393363264 is a wasteful number, since it uses less digits than its factorization.

44226393363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315370 (or 315360 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 57.

The spelling of 44226393363264 in words is "forty-four trillion, two hundred twenty-six billion, three hundred ninety-three million, three hundred sixty-three thousand, two hundred sixty-four".